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Finding the Third Proportional to 396,008 and 853,840

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Solution

The third proportional to 396,008 and 853,840 is: 1,840,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,008 : 853,840 = 853,840 : x
  2. Step 2: Convert to fraction form
    396,008/853,840 = 853,840/x
  3. Step 3: Cross multiply
    396,008x = 853,840 × 853,840
  4. Step 4: Simplify right side
    396,008x = 729,042,745,600
  5. Step 5: Solve for x
    x = 729,042,745,600/396,008
  6. Step 6: Final answer
    x = 1,840,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.